Hypergeometric Functions with Integral Parameter Differences
- 1 February 1971
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (2) , 270-271
- https://doi.org/10.1063/1.1665587
Abstract
For a generalized hypergeometric function pFq(z) with positive integral differences between certain numerator and denominator parameters, a formula expressing the pFq(z) as a finite sum of lower‐order functions is proved. From this formula, Minton's two summation theorems for p = q + 1, z = 1 are deduced, one of these under less restrictive conditions than assumed by Minton.Keywords
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